LOWER BOUNDS FOR THE EIGENVALUES OF THE DIRAC OPERATOR

被引：43

作者：

HIJAZI, O

机构：

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 1995年 / 16卷 / 01期

关键词：

DIRAC OPERATOR; EIGENVALUES;

D O I：

10.1016/0393-0440(94)00019-Z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

On a compact Riemannian spin manifold we give new lower bounds for the eigenvalues of the Dirac operator in terms of the curvature and of the norm of an appropriate endomorphism of the tangent bundle. As a corollary, one gets all known results in this direction. The limiting-case is then studied.

引用

页码：27 / 38

页数：12

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